Criteria for the boundedness of a certain class of matrix operators from lpv into lqu
Матрицалық операторлар бiр класының lpv-дан lqu-ға шенелгендiк критерийi
Критерий ограниченности некоторого класса матричных операторов из lpv в lqu
Temirkhanova A.M. Beszhanova A.T.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#111Issue 3122 - 137 pp.
One of the main aims in the theory of matrices is to find necessary and sufficient conditions for the elements of any matrix so that the corresponding matrix operator maps continuously from one normed space into another one. Thus, it is very important to find the norm of the matrix operator, at least, to find upper and lower estimates of it. This problem in Lebesgue spaces of sequences in the general case is still open. This paper deals with the problem of boundedness of matrix operators from lpv into lqu for 1 < q < p < ∞, and we obtain necessary and sufficient conditions of this problem when matrix operators belong to the classes O2± satisfying weaker conditions than Oinarov’s condition.
boundedness , conjugate operator , Hardy inequality , Hardy operator , matrix , matrix operator , Oinarov’s condition , weight inequalities , weight Lebesgue space , weight sequence
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L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026